 17.17.1: Solve the equation y y 6y 0 y
 17.17.2: Solve 3 d 2 y dx 2 dy dx y 0
 17.17.3: Solve the equation 4y 12y 9y 0 y
 17.17.4: Solve the equation y 6y 13y 0 S
 17.17.5: Solve the initialvalue problem y y 6y 0 y01 y00 Px0 y0
 17.17.6: Solve the initialvalue problem y y 0 y02 y03 y 3 5
 17.17.7: Solve the boundaryvalue problem y 2y y 0 y01 y13 V yx0 y
 17.17.8: Solve the differential equation.y y 6y 0 y
 17.17.9: Solve the differential equation.y 4y 4y 0 17
 17.17.10: Solve the differential equation.y 16y 0 y
 17.17.11: Solve the differential equation.y 8y 12y 0 1
 17.17.12: Solve the differential equation.9y 12y 4y 0 25
 17.17.13: Solve the differential equation.25y 9y 0 y
 17.17.14: Solve the differential equation.y2yy
 17.17.15: Solve the differential equation.y 4y y 0 9
 17.17.16: Solve the differential equation.y 4y 13y 0 y
 17.17.17: Solve the differential equation.y 3y0 y
 17.17.18: Solve the differential equation.2 d2 y dt 2 2 d y dt y 0
 17.17.19: Solve the differential equation.8 d2 y dt 2 12 d y dt 5y 0 2
 17.17.20: Solve the differential equation.100 d2 P dt 2 200 dP dt 101P 0 8
 17.17.21: Graph the two basic solutions of the differential equation and seve...
 17.17.22: Graph the two basic solutions of the differential equation and seve...
 17.17.23: Graph the two basic solutions of the differential equation and seve...
 17.17.24: Solve the initialvalue problem 2y 5y 3y 0 y03 y04 9 d2 y
 17.17.25: Solve the initialvalue problem y 3y 0, , y01 y03 2y
 17.17.26: Solve the initialvalue problem 4y 4y y 0 y01 y01.5 2. 3.
 17.17.27: Solve the initialvalue problem 2y 5y 3y 0 y01 y04 113 So
 17.17.28: Solve the initialvalue problem y 16y 0 y43 y44 2y 5y
 17.17.29: Solve the initialvalue problem y 2y 5y 0 y0 y2 21. y 1
 17.17.30: Solve the initialvalue problem y 2y 2y 0 y02 y01 y 2y 5y
 17.17.31: Solve the initialvalue problem y 2y 2y 0 y02 y01 y 2y 5y
 17.17.32: Solve the boundaryvalue problem, if possible.4y y 0 y03 y4 y 12y
 17.17.33: Solve the boundaryvalue problem, if possible.y 2y0 y01 y12 4y y 0
 17.17.34: Solve the boundaryvalue problem, if possible.y 3y 2y 0 y01 y30 y 2y0
 17.17.35: Solve the boundaryvalue problem, if possible.y 100y 0 y02 y5 y 3y
 17.17.36: Solve the boundaryvalue problem, if possible.y 6y 25y 0 y01 y2 y 100y
 17.17.37: Solve the boundaryvalue problem, if possible.y 6y 9y 0 y01 y10 y 6y
 17.17.38: Solve the boundaryvalue problem, if possible.y 4y 13y 0 y02 y21 30...
 17.17.39: Solve the boundaryvalue problem, if possible.9y 18y 10y 0 y00 y1 y...
 17.17.40: Let be a nonzero real number. (a) Show that the boundaryvalue prob...
 17.17.41: If , , and are all positive constants and is a solution of the diff...
 17.17.42: Use (a) the Trapezoidal Rule and (b) the Midpoint Rule with to appr...
 17.17.43: How large should we take in order to guarantee that the Trapezoidal...
 17.17.44: a) Use the Midpoint Rule with to approximate the integral . (b) Giv...
 17.17.45: Figure 9 shows data traffic on the link from the United States to S...
 17.17.46: How large should we take in order to guarantee that the Simpsons Ru...
 17.17.47: (a) Use Simpsons Rule with to approximate the integral . (b) Estima...
 17.17.48: Let , where is the function whose graph is shown. (a) Use the graph...
 17.17.49: The left, right, Trapezoidal, and Midpoint Rule approximations were...
 17.17.50: Estimate using (a) the Trapezoidal Rule and (b) the Midpoint Rule, ...
 17.17.51: Draw the graph of in the viewing rectangle by and let . (a) Use the...
 17.17.52: Use (a) the Midpoint Rule and (b) Simpsons Rule to approximate the ...
 17.17.53: Use (a) the Midpoint Rule and (b) Simpsons Rule to approximate the ...
 17.17.54: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.55: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.56: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.57: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.58: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.59: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.60: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.61: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.62: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.63: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.64: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.65: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpso...
 17.17.66: a) Find the approximations and for the integral . (b) Estimate the ...
 17.17.67: a) Find the approximations and for . (b) Estimate the errors in the...
 17.17.68: a) Find the approximations , , and for and the corresponding errors...
 17.17.69: How large should be to guarantee that the Simpsons Rule approximati...
 17.17.70: The trouble with the error estimates is that it is often very diffi...
 17.17.71: Repeat Exercise 23 for the integral 1 1 s4 x 3 CAS dx
 17.17.72: Find the approximations , and for , and . Then compute the correspo...
 17.17.73: Find the approximations , and for , and . Then compute the correspo...
 17.17.74: Find the approximations , , and for and . Then compute the correspo...
 17.17.75: Find the approximations , , and for and . Then compute the correspo...
 17.17.76: Estimate the area under the graph in the figure by using (a) the Tr...
 17.17.77: The widths (in meters) of a kidneyshaped swimming pool were measur...
 17.17.78: a) Use the Midpoint Rule and the given data to estimate the value o...
 17.17.79: A radar gun was used to record the speed of a runner during the fir...
 17.17.80: The graph of the acceleration of a car measured in is shown. Use Si...
 17.17.81: Water leaked from a tank at a rate of liters per hour, where the gr...
 17.17.82: The table (supplied by San Diego Gas and Electric) gives the 1x pow...
 17.17.83: Shown is the graph of traffic on an Internet service providers T1 d...
 17.17.84: If the region shown in the figure is rotated about the axis to for...
 17.17.85: The table shows values of a force function , where is measured in m...
 17.17.86: The region bounded by the curves , , , and is rotated about the ax...
 17.17.87: The figure shows a pendulum with length that makes a maximum angle ...
 17.17.88: The intensity of light with wavelength traveling through a diffract...
 17.17.89: Use the Trapezoidal Rule with to approximate . Compare your result ...
 17.17.90: Sketch the graph of a continuous function on for which the Trapezoi...
 17.17.91: Sketch the graph of a continuous function on for which the right en...
 17.17.92: If is a positive function and for , show that n y b a fx dx Mn
 17.17.93: Show that if is a polynomial of degree 3 or lower, then Simpsons Ru...
 17.17.94: Show that 1 3Tn 2 3 Mn S2n 1 2 Tn Mn T2n x
 17.17.95: Show that 1 3Tn 2 3 Mn S2n 1 2 Tn Mn T2n x
 17.17.96: Determine whether the integral is convergent or divergent.
 17.17.97: Evaluate y 0 xex dx
 17.17.98: Evaluate y 1 1 x 2 dx
 17.17.99: For what values of is the integral 1 1 x p dx
 17.17.100: Find 5 2 1 sx 2 dx
 17.17.101: Determine whether converges or diverges
 17.17.102: Evaluate 3 0 dx x 1 if possible
 17.17.103: Solve the equation y y 2y x 2 V
 17.17.104: Solve y 4y e 3x e
 17.17.105: Solvey y 2y sin x y
 17.17.106: Solve y 4y xe x cos 2x a
 17.17.107: Solve y y sin x
 17.17.108: Determine the form of the trial solution for the differential equat...
 17.17.109: Solve the equation y y tan x 0 x 2
 17.17.110: Solve the differential equation or initialvalue problem using the ...
 17.17.111: Solve the differential equation or initialvalue problemusing the m...
 17.17.112: Solve the differential equation or initialvalue problemusing the m...
 17.17.113: Solve the differential equation or initialvalue problemusing the m...
 17.17.114: Solve the differential equation or initialvalue problemusing the m...
 17.17.115: Solve the differential equation or initialvalue problemusing the m...
 17.17.116: Solve the differential equation or initialvalue problem using the ...
 17.17.117: Solve the differential equation or initialvalue problem using the ...
 17.17.118: Solve the differential equation or initialvalue problem using the ...
 17.17.119: Solve the differential equation or initialvalue problem using the ...
 17.17.120: Graph the particular solution and several other solutions. What cha...
 17.17.121: Graph the particular solution and several other solutions. What cha...
 17.17.122: Write a trial solution for the method of undetermined coefficients....
 17.17.123: Write a trial solution for the method of undetermined coefficients....
 17.17.124: Write a trial solution for the method of undetermined coefficients....
 17.17.125: Write a trial solution for the method of undetermined coefficients....
 17.17.126: Write a trial solution for the method of undetermined coefficients....
 17.17.127: Write a trial solution for the method of undetermined coefficients....
 17.17.128: Solve the differential equation using (a) undetermined coef x fici...
 17.17.129: Solve the differential equation using (a) undetermined coef x fici...
 17.17.130: Solve the differential equation using (a) undetermined coef x fici...
 17.17.131: Solve the differential equation using (a) undetermined coef x fici...
 17.17.132: Solve the differential equation using the method of variation of pa...
 17.17.133: Solve the differential equation using the method of variation of pa...
 17.17.134: Solve the differential equation using the method of variation of pa...
 17.17.135: Solve the differential equation using the method of variation of pa...
 17.17.136: Solve the differential equation using the method of variation of pa...
 17.17.137: Solve the differential equation using the method of variation of pa...
 17.17.138: a) Find an equation of the sphere that passes through the point and...
 17.17.139: Copy the vectors in the figure and use them to draw each of the fol...
 17.17.140: If u and v are the vectors shown in the figure, find and . Is u v d...
 17.17.141: Calculate the given quantity if (a) (b) (c) (d) (e) (f) (g) (h) (i)...
 17.17.142: Find the values of such that the vectors and are orthogonal.
 17.17.143: Find two unit vectors that are orthogonal to both and .i 2j 3k
 17.17.144: Suppose that . Find (a) (b) (c) (d
 17.17.145: Show that if , , and are in , then a b b c c a a b c 2 c
 17.17.146: Find the acute angle between two diagonals of a cube.
 17.17.147: Given the points , , , and , find the volume of the parallelepiped ...
 17.17.148: (a) Find a vector perpendicular to the plane through the points , ,...
 17.17.149: A constant force moves an object along the line segment from to . F...
 17.17.150: A boat is pulled onto shore using two ropes, as shown in the diagra...
 17.17.151: Find the magnitude of the torque about if a 50N force is applied a...
 17.17.152: Find parametric equations for the line
 17.17.153: Find parametric equations for the line
 17.17.154: Find parametric equations for the line
 17.17.155: Find an equation of the plane.
 17.17.156: Find an equation of the plane.
 17.17.157: Find an equation of the plane.
 17.17.158: Find the point in which the line with parametric equations , , inte...
 17.17.159: Find the distance from the origin to the line x 1 t y 2 t z 1 2t 2x y
 17.17.160: Determine whether the lines given by the symmetric equations and ar...
 17.17.161: (a) Show that the planes and 2x 3y 4z 5 are neither parallel nor pe...
 17.17.162: (b) Find, correct to the nearest degree, the angle between these pl...
 17.17.163: Find an equation of the plane through the line of intersection of t...
 17.17.164: (a) Find an equation of the plane that passes through the points , ...
 17.17.165: Find the distance between the planes and 3x y 4z 24
 17.17.166: Identify and sketch the graph of each surface x 3
 17.17.167: Identify and sketch the graph of each surface x z
 17.17.168: Identify and sketch the graph of each surface y z2
 17.17.169: Identify and sketch the graph of each surface x 2 y 2 4z2 y
 17.17.170: Identify and sketch the graph of each surface 4x y 2z 4 2
 17.17.171: Identify and sketch the graph of each surface 4x 2 y 2 4z 4x y 2z 4...
 17.17.172: Identify and sketch the graph of each surface y 2 z2 1 x 2 4
 17.17.173: Identify and sketch the graph of each surface 4x 2 4y 2 8y z2 0 y
 17.17.174: Identify and sketch the graph of each surface x y2 z2 2y 4z 5 4x
 17.17.175: An ellipsoid is created by rotating the ellipse about the axis. Fi...
 17.17.176: A surface consists of all points such that the distance from to the...
 17.17.177: Each edge of a cubical box has length 1 m. The box contains nine sp...
 17.17.178: Let be a solid box with length , width , and height . Let be the se...
 17.17.179: Let be the line of intersection of the planes and , where is a real...
 17.17.180: A plane is capable of flying at a speed of 180 kmh in still air. Th...
 17.17.181: Suppose a block of mass is placed on an inclined plane, as shown in...
 17.17.182: A spring with a mass of 2 kg has natural length m. A force of N is ...
 17.17.183: Suppose that the spring of Example 1 is immersed in a fluid with da...
 17.17.184: Find the charge and current at time in the circuit of Figure 7 if ,...
 17.17.185: A spring has natural length and a mass. A force of is needed to kee...
 17.17.186: A spring with an mass is kept stretched beyond its natural length b...
 17.17.187: A spring with a mass of 2 kg has damping constant 14, and a force o...
 17.17.188: A force of 13 N is needed to keep a spring with a 2kg mass stretch...
 17.17.189: For the spring in Exercise 3, find the mass that would produce crit...
 17.17.190: For the spring in Exercise 4, find the damping constant that would ...
 17.17.191: A spring has a mass of 1 kg and its spring constant is . The spring...
 17.17.192: A spring has a mass of 1 kg and its damping constant is The spring ...
 17.17.193: Suppose a spring has mass and spring constant and let . Suppose tha...
 17.17.194: Suppose a spring has mass and spring constant and let . Suppose tha...
 17.17.195: Show that if , but is a rational number, then the motion described ...
 17.17.196: Consider a spring subject to a frictional or damping force. (a) In ...
 17.17.197: A series circuit consists of a resistor with , an inductor with H, ...
 17.17.198: A series circuit contains a resistor with , an inductor with H, a c...
 17.17.199: The battery in Exercise 13 is replaced by a generator producing a v...
 17.17.200: The battery in Exercise 14 is replaced by a generator producing a v...
 17.17.201: Verify that the solution to Equation 1 can be written in the form x...
 17.17.202: The figure shows a pendulum with length L and the angle from the ve...
 17.17.203: Use the fact that the world population was 2560 million in 1950 and...
 17.17.204: The halflife of radium226 is 1590 years. (a) A sample of radium2...
 17.17.205: A bottle of soda pop at room temperature ( F) is placed in a refrig...
 17.17.206: If $1000 is invested at 6% interest, compounded annually, then afte...
 17.17.207: A population of protozoa develops with a constant relative 3. growt...
 17.17.208: A common inhabitant of human intestines is the bacterium Escherichi...
 17.17.209: A bacteria culture initially contains 100 cells and grows at a rate...
 17.17.210: A bacteria culture grows with constant relative growth rate. After ...
 17.17.211: The table gives estimates of the world population, in millions, fro...
 17.17.212: The table gives the population of the United States, in millions, f...
 17.17.213: Experiments show that if the chemical reaction takes place at , the...
 17.17.214: Bismuth210 has a halflife of 5.0 days. (a) A sample originally ha...
 17.17.215: The halflife of cesium137 is 30 years. Suppose we have a 100mg s...
 17.17.216: A sample of tritium3 decayed to 94.5% of its original amount after...
 17.17.217: Scientists can determine the age of ancient objects by the method o...
 17.17.218: A curve passes through the point and has the property that the slop...
 17.17.219: A roast turkey is taken from an oven when its temperature has reach...
 17.17.220: A thermometer is taken from a room where the temperature is C to th...
 17.17.221: When a cold drink is taken from a refrigerator, its temperature is ...
 17.17.222: A freshly brewed cup of coffee has temperature C in a C room. When ...
 17.17.223: The rate of change of atmospheric pressure with respect to altitude...
 17.17.224: (a) If $1000 is borrowed at 8% interest, find the amounts due at th...
 17.17.225: (a) If $3000 is invested at 5% interest, find the value of the inve...
 17.17.226: (a) How long will it take an investment to double in value if the i...
 17.17.227: Air is being pumped into a spherical balloon so that its volume inc...
 17.17.228: A ladder 10 ft long rests against a vertical wall. If the bottom of...
 17.17.229: A water tank has the shape of an inverted circular cone with base r...
 17.17.230: Car A is traveling west at and car B is traveling north at . Both a...
 17.17.231: A man walks along a straight path at a speed of 4 ft!s. A searchlig...
 17.17.232: If is the volume of a cube with edge length and the cube expands as...
 17.17.233: a) If is the area of a circle with radius and the circle expands as...
 17.17.234: Each side of a square is increasing at a rate of . At what rate is ...
 17.17.235: The length of a rectangle is increasing at a rate of and its width ...
 17.17.236: A cylindrical tank with radius 5 m is being filled with water at a ...
 17.17.237: The radius of a sphere is increasing at a rate of . How fast is the...
 17.17.238: A particle moves along the curve . As it reaches the point , the c...
 17.17.239: a) What quantities are given in the problem? (b) What is the unknow...
 17.17.240: a) What quantities are given in the problem? (b) What is the unknow...
 17.17.241: a) What quantities are given in the problem? (b) What is the unknow...
 17.17.242: a) What quantities are given in the problem? (b) What is the unknow...
 17.17.243: Two cars start moving from the same point. One travels south at 60 ...
 17.17.244: A spotlight on the ground shines on a wall 12 m away. If a man 2 m ...
 17.17.245: A man starts walking north at 4 ft!s from a point . Five minutes la...
 17.17.246: A baseball diamond is a square with side 90 ft. A batter hits the b...
 17.17.247: The altitude of a triangle is increasing at a rate of 1 cm!min whil...
 17.17.248: A boat is pulled into a dock by a rope attached to the bow of the b...
 17.17.249: At noon, ship A is 100 km west of ship B. Ship A is sailing south a...
 17.17.250: A particle is moving along the curve . As the particle passes throu...
 17.17.251: Water is leaking out of an inverted conical tank at a rate of 10,00...
 17.17.252: A trough is 10 ft long and its ends have the shape of isosceles tri...
 17.17.253: A water trough is 10 m long and a crosssection has the shape of an...
 17.17.254: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow...
 17.17.255: Gravel is being dumped from a conveyor belt at a rate of 30 , and i...
 17.17.256: A kite 100 ft above the ground moves horizontally at a speed of 8 f...
 17.17.257: Two sides of a triangle are 4 m and 5 m in length and the angle bet...
 17.17.258: How fast is the angle between the ladder and the ground changing in...
 17.17.259: Boyles Law states that when a sample of gas is compressed at a cons...
 17.17.260: When air expands adiabatically (without gaining or losing heat), it...
 17.17.261: If two resistors with resistances and are connected in parallel, as...
 17.17.262: Brain weight as a function of body weight in fish has been modeled ...
 17.17.263: Two sides of a triangle have lengths 12 m and 15 m. The angle betwe...
 17.17.264: Two carts, A and B, are connected by a rope 39 ft long that passes ...
 17.17.265: A television camera is positioned 4000 ft from the base of a rocket...
 17.17.266: A lighthouse is located on a small island 3 km away from the neares...
 17.17.267: A plane flies horizontally at an altitude of and passes directly ov...
 17.17.268: A Ferris wheel with a radius of is rotating at a rate of one revolu...
 17.17.269: A plane flying with a constant speed of 300 km!h passes over a grou...
 17.17.270: Two people start from the same point. One walks east at 3 mi!h and ...
 17.17.271: A runner sprints around a circular track of radius 100 m at a const...
 17.17.272: The minute hand on a watch is 8 mm long and the hour hand is 4 mm l...
 17.17.273: Use power series to solve the equation y y 0
 17.17.274: Solve y 2xy y 0 y
 17.17.275: Use power series to solve the differential equation.y y 0 y
 17.17.276: Use power series to solve the differential equation.yxy
 17.17.277: Use power series to solve the differential equation.yx x
 17.17.278: Use power series to solve the differential equation.x 3y 2y 0 2 3.
 17.17.279: Use power series to solve the differential equation.y xy y 0 y
 17.17.280: Use power series to solve the differential equation.yy
 17.17.281: Use power series to solve the differential equation.x 1y y0 y
 17.17.282: Use power series to solve the differential equation.yxy
 17.17.283: Use power series to solve the differential equation.y xy y 0 y01 y0...
 17.17.284: Use power series to solve the differential equation.y x , , y01 y00...
 17.17.285: Use power series to solve the differential equation.
 17.17.286: The solution of the initialvalue problem is called a Bessel functi...
 17.17.287: a) Write the general form of a secondorder homogeneous linear diff...
 17.17.288: (a) What is an initialvalue problem for a secondorder differentia...
 17.17.289: (a) What is an initialvalue problem for a secondorder differentia...
 17.17.290: Discuss two applications of secondorder linear differential equati...
 17.17.291: How do you use power series to solve a differential equation?
 17.17.292: Determine whether the statement is true or false. If it is true, ex...
 17.17.293: Determine whether the statement is true or false. If it is true, ex...
 17.17.294: Determine whether the statement is true or false. If it is true, ex...
 17.17.295: Determine whether the statement is true or false. If it is true, ex...
 17.17.296: Solve the differential equation y 2y 15y 0 16
 17.17.297: Solve the differential equation y 4y 13y 0 y
 17.17.298: Solve the differential equation y 3y 0
 17.17.299: Solve the differential equation 4y 4y y 0 y
 17.17.300: Solve the differential equation d2 y dx 2 4 dy dx 5y e 2x 4
 17.17.301: Solve the differential equation d2 y dx 2 dy dx 2y x 2 d
 17.17.302: Solve the differential equation d2 y dx 2 2 dy dx y x cos x d
 17.17.303: Solve the differential equation d2 y dx 2 4y sin 2x
 17.17.304: Solve the differential equation y dx 2 dy dx 6y 1 e2x d2
 17.17.305: Solve the differential equation 2 d2 y dx 2 y csc x
 17.17.306: Solve the initialvalue problem y 6y0 y13 y112 0 x
 17.17.307: Solve the initialvalue problem y 6y 25y 0 y02 y01 y 6y0
 17.17.308: Solve the initialvalue problem 5y 4y 0 y00 y01 y 6y
 17.17.309: Solve the initialvalue problem 9y y 3x e y01 y02 x y 5y
 17.17.310: Use power series to solve the initialvalue problem y xy y 0 y00 y0...
 17.17.311: Use power series to solve the equation
 17.17.312: A series circuit contains a resistor with , an inductor with H, a c...
 17.17.313: A spring with a mass of 2 kg has damping constant 16, and a force o...
 17.17.314: Assume that the earth is a solid sphere of uniform density with mas...
Solutions for Chapter 17: SECONDORDER LINEAR EQUATIONS
Full solutions for Calculus: Early Transcendentals  6th Edition
ISBN: 9780495011668
Solutions for Chapter 17: SECONDORDER LINEAR EQUATIONS
Get Full SolutionsSince 314 problems in chapter 17: SECONDORDER LINEAR EQUATIONS have been answered, more than 37607 students have viewed full stepbystep solutions from this chapter. Chapter 17: SECONDORDER LINEAR EQUATIONS includes 314 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780495011668.

Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec

Annual percentage rate (APR)
The annual interest rate

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Bearing
Measure of the clockwise angle that the line of travel makes with due north

Dependent event
An event whose probability depends on another event already occurring

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

Horizontal component
See Component form of a vector.

Infinite limit
A special case of a limit that does not exist.

Irrational numbers
Real numbers that are not rational, p. 2.

Jump discontinuity at x a
limx:a  ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

Natural exponential function
The function ƒ1x2 = ex.

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Octants
The eight regions of space determined by the coordinate planes.

Radian
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

Standard deviation
A measure of how a data set is spread

Sum of an infinite series
See Convergence of a series

Vertical line test
A test for determining whether a graph is a function.